Three point charges of + 2 q , + 2 q and - 4 q are placed at the corners A , B and C of an equilateral triangle ABC of side x . The magnitude of the electric dipole moment of this system is

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TestHub · Accepted Answer

According to the equation of magnitude of the electric dipole moment

$P_{n e t} = \sqrt{p^{2} + p^{2} + 2 p p \cos 60^{o}}$

$= \sqrt{2 p^{2} + 2 p^{2} \times \frac{1}{2}}$

$= \sqrt{3} \cdot p$

We know that, $p = 2 q \cdot x$ $[∵ p = q \cdot]$

$= \sqrt{3} \cdot 2 q x = 2 \sqrt{3} q x$

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